{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a4977c42-671f-45cc-a9c3-cba1ddba196a",
   "metadata": {},
   "source": [
    "# Tutorial: Perturbation simulation\n",
    "\n",
    "In this tutorial we illustrate how the predictions from SCENIC+ can be utilized to simulate the effect of transcription factor perturbations.\n",
    "\n",
    "Here, the predictions of SCENIC+ serve as a feature selection method. We will use the expression of transcription factors (TFs) as predictors for their target gene expression. For this a random forest regression model will be fitted for each gene with the expression of TFs which are predicted to regulate them by SCENIC+ as predictor for their target gene expression. After fitting the models we can alter the expression of a TF of choice and we can simulate a new gene expression matrix. This simulation is repeated for several iterations to simulate indirect effects. The simulated cells in this new matrix can be projected in an embedding of choice to visualize the effect of the perturbation."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "605e575e-9276-41c0-b914-09e6ba26cd69",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-warning\">\n",
    "\n",
    "**Warning:**\n",
    "In order to continue you need to have the python package `velocyto` installed.\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b7a15bf8-a0b6-4e26-9fa1-3729be03c033",
   "metadata": {},
   "outputs": [],
   "source": [
    "%pip install velocyto"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fd9916fd-e606-4aa1-bfa8-0d1e3fedee04",
   "metadata": {},
   "outputs": [],
   "source": [
    "import mudata\n",
    "import os\n",
    "import scanpy as sc\n",
    "import anndata\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import adjustText\n",
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "e3052c3f-1a3c-45ab-ba35-7e48ee4f26fc",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scenicplus.simulation import (\n",
    "    train_gene_expression_models,\n",
    "    simulate_perturbation,\n",
    "    plot_perturbation_effect_in_embedding\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ccffbbca-4ba5-4f3c-a464-778d44f43847",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "24f06c10-67e3-43d8-a8ae-2050c6729de8",
   "metadata": {},
   "outputs": [],
   "source": [
    "data_dir = \"/staging/leuven/stg_00002/lcb/sdewin/PhD/testing/new_scenicplus_mm_lines/Snakemake\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "90a68e3d-1936-4131-b77a-b0d8b8dd29c1",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/lustre1/project/stg_00002/mambaforge/vsc33053/envs/scenicplus_development_tutorial/lib/python3.11/site-packages/anndata/_core/anndata.py:522: FutureWarning: The dtype argument is deprecated and will be removed in late 2024.\n",
      "  warnings.warn(\n",
      "/lustre1/project/stg_00002/mambaforge/vsc33053/envs/scenicplus_development_tutorial/lib/python3.11/site-packages/anndata/_core/anndata.py:522: FutureWarning: The dtype argument is deprecated and will be removed in late 2024.\n",
      "  warnings.warn(\n",
      "/lustre1/project/stg_00002/mambaforge/vsc33053/envs/scenicplus_development_tutorial/lib/python3.11/site-packages/anndata/_core/anndata.py:522: FutureWarning: The dtype argument is deprecated and will be removed in late 2024.\n",
      "  warnings.warn(\n",
      "/lustre1/project/stg_00002/mambaforge/vsc33053/envs/scenicplus_development_tutorial/lib/python3.11/site-packages/anndata/_core/anndata.py:522: FutureWarning: The dtype argument is deprecated and will be removed in late 2024.\n",
      "  warnings.warn(\n",
      "/lustre1/project/stg_00002/mambaforge/vsc33053/envs/scenicplus_development_tutorial/lib/python3.11/site-packages/anndata/_core/anndata.py:522: FutureWarning: The dtype argument is deprecated and will be removed in late 2024.\n",
      "  warnings.warn(\n",
      "/lustre1/project/stg_00002/mambaforge/vsc33053/envs/scenicplus_development_tutorial/lib/python3.11/site-packages/anndata/_core/anndata.py:522: FutureWarning: The dtype argument is deprecated and will be removed in late 2024.\n",
      "  warnings.warn(\n"
     ]
    }
   ],
   "source": [
    "scplus_mdata = mudata.read(os.path.join(data_dir, \"scplusmdata.h5mu\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b183b53f-2e99-4ea0-8b59-66730469ce63",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre>MuData object with n_obs × n_vars = 470 × 363087\n",
       "  uns:\t&#x27;direct_e_regulon_metadata&#x27;, &#x27;extended_e_regulon_metadata&#x27;\n",
       "  6 modalities\n",
       "    scRNA_counts:\t470 x 18878\n",
       "      obs:\t&#x27;MMline&#x27;\n",
       "    scATAC_counts:\t470 x 343843\n",
       "      obs:\t&#x27;MMline&#x27;\n",
       "    direct_gene_based_AUC:\t470 x 104\n",
       "    direct_region_based_AUC:\t470 x 104\n",
       "    extended_gene_based_AUC:\t470 x 79\n",
       "    extended_region_based_AUC:\t470 x 79</pre>"
      ],
      "text/plain": [
       "MuData object with n_obs × n_vars = 470 × 363087\n",
       "  uns:\t'direct_e_regulon_metadata', 'extended_e_regulon_metadata'\n",
       "  6 modalities\n",
       "    scRNA_counts:\t470 x 18878\n",
       "      obs:\t'MMline'\n",
       "    scATAC_counts:\t470 x 343843\n",
       "      obs:\t'MMline'\n",
       "    direct_gene_based_AUC:\t470 x 104\n",
       "    direct_region_based_AUC:\t470 x 104\n",
       "    extended_gene_based_AUC:\t470 x 79\n",
       "    extended_region_based_AUC:\t470 x 79"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scplus_mdata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "99a1c241-0507-4267-b40d-e6842d2dfd30",
   "metadata": {},
   "outputs": [],
   "source": [
    "eRegulon_gene_AUC = anndata.concat(\n",
    "    [scplus_mdata[\"direct_gene_based_AUC\"], scplus_mdata[\"extended_gene_based_AUC\"]],\n",
    "    axis = 1,\n",
    ")\n",
    "eRegulon_gene_AUC.obs = scplus_mdata.obs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "acbf3df0-954d-44cf-b7fe-0b6189123dbb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AnnData object with n_obs × n_vars = 470 × 183\n",
       "    obs: 'scRNA_counts:MMline', 'scATAC_counts:MMline'"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eRegulon_gene_AUC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "c1550ab9-9d92-496c-a1ff-5d07b787eb41",
   "metadata": {},
   "outputs": [],
   "source": [
    "sc.pp.pca(eRegulon_gene_AUC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f54009ab-fb2a-40f2-8329-7d307740d76e",
   "metadata": {},
   "outputs": [],
   "source": [
    "color_dict_line = {\n",
    "    'MM001': '#9A031E', \n",
    "    'MM011': '#C75146', \n",
    "    'MM031': '#FFA987',\n",
    "    'MM074': '#222E50',\n",
    "    'MM087': '#8BB174',\n",
    "    'MM057': '#2A4849',\n",
    "    'MM029': '#3E5641', \n",
    "    'MM047': '#59A96A',  \n",
    "    'MM099': '#56E39F'}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "4abbbbd6-8ebd-4bd4-a073-53da912c1aef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_mm_line_pca(ax):\n",
    "    texts = []\n",
    "    # Plot PCA\n",
    "    ax.scatter(\n",
    "        eRegulon_gene_AUC.obsm[\"X_pca\"][:, 0],\n",
    "        eRegulon_gene_AUC.obsm[\"X_pca\"][:, 1],\n",
    "        color = [color_dict_line[line] for line in eRegulon_gene_AUC.obs[\"scRNA_counts:MMline\"]]\n",
    "    )\n",
    "    # Plot labels\n",
    "    for line in set(eRegulon_gene_AUC.obs[\"scRNA_counts:MMline\"]):\n",
    "        line_bc_idc = np.arange(len(eRegulon_gene_AUC.obs_names))[eRegulon_gene_AUC.obs[\"scRNA_counts:MMline\"] == line]\n",
    "        avg_x, avg_y = eRegulon_gene_AUC.obsm[\"X_pca\"][line_bc_idc, 0:2].mean(0)\n",
    "        texts.append(\n",
    "            ax.text(\n",
    "                avg_x,\n",
    "                avg_y,\n",
    "                line,\n",
    "                fontweight = \"bold\"\n",
    "            )\n",
    "        )\n",
    "    adjustText.adjust_text(texts)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plot_mm_line_pca(ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "8f0e0e70-aea3-438c-9706-570bfd58c713",
   "metadata": {},
   "outputs": [],
   "source": [
    "gene_tf_direct_extended = pd.concat(\n",
    "    [\n",
    "        scplus_mdata.uns[\"direct_e_regulon_metadata\"][[\"Gene\", \"TF\"]].drop_duplicates(),\n",
    "        scplus_mdata.uns[\"extended_e_regulon_metadata\"][[\"Gene\", \"TF\"]].drop_duplicates()\n",
    "    ]\n",
    ").drop_duplicates()\n",
    "gene_to_TF = gene_tf_direct_extended.groupby(\"Gene\")[\"TF\"].apply(lambda tfs: list(tfs)).to_dict()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "67f15c5d-b40e-4089-aac2-e2e5627e1b02",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['SOX10', 'SOX6', 'CTNNB1', 'SOX9']"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gene_to_TF[\"ERBB3\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "48c91dd8-2d05-43d1-a68a-2affa64bbf78",
   "metadata": {},
   "outputs": [],
   "source": [
    "# use a subset of genes, just so the notebook runs fast\n",
    "genes_to_use = scplus_mdata.uns[\"direct_e_regulon_metadata\"].sort_values(\"triplet_rank\")[\"Gene\"].iloc[0:5_000].drop_duplicates()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "ae772a5a-008b-4793-8fc0-9b0c73cf3a60",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2892/2892 [06:49<00:00,  7.07it/s]\n"
     ]
    }
   ],
   "source": [
    "regressors = train_gene_expression_models(\n",
    "    df_EXP = scplus_mdata[\"scRNA_counts\"].to_df(),\n",
    "    gene_to_TF = gene_to_TF,\n",
    "    genes = genes_to_use,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "270c7b24-3e1d-4504-ab8c-efd33b097729",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                    \r"
     ]
    }
   ],
   "source": [
    "perturbation_over_iter = simulate_perturbation(\n",
    "    df_EXP = scplus_mdata[\"scRNA_counts\"].to_df(),\n",
    "    perturbation = {\"SOX10\": 0},\n",
    "    keep_intermediate = True,\n",
    "    n_iter = 5,\n",
    "    regressors = regressors\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "a2b8a8d6-0056-4f51-8a46-a34dd25ab66b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys([0, 1, 2, 3, 4, 5, 6])"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "perturbation_over_iter.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "b056301b-5cc9-4901-94f8-5d44fa0abab5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "genes_to_show = [\"FOSL1\", \"NFE2L3\", \"JUN\", \"FOSL2\", \"MITF\", \"IRF4\", \"TFAP2A\"]\n",
    "cell_line = \"MM001\"\n",
    "fig, ax = plt.subplots()\n",
    "baseline = perturbation_over_iter[0].groupby(eRegulon_gene_AUC.obs[\"scRNA_counts:MMline\"]).mean().loc[cell_line, genes_to_show]\n",
    "for gene in genes_to_show:\n",
    "    ax.plot(\n",
    "        np.arange(5) + 1,\n",
    "        [\n",
    "            np.log2(perturbation_over_iter[i].groupby(eRegulon_gene_AUC.obs[\"scRNA_counts:MMline\"]).mean().loc[cell_line, gene] / baseline[gene])\n",
    "            for i in np.arange(5) + 1\n",
    "        ],\n",
    "        label = gene\n",
    "    )\n",
    "ax.set_ylabel(\"Predicted $log{_2}FC$\")\n",
    "ax.set_xlabel(\"Iteration\")\n",
    "ax.legend()\n",
    "ax.axhline(y = 0, color = \"black\")\n",
    "ax.grid(\"gray\")\n",
    "ax.set_axisbelow(True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "0860f8b9-7825-4ee5-aed4-33e85924a785",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2024-08-30 12:44:17,610 Perturbation INFO     Generating ranking based on perturbed matrix.\n",
      "2024-08-30 12:44:18,171 Perturbation INFO     Scoring eRegulons.\n",
      "2024-08-30 12:44:21,446 Perturbation INFO     Projecting perturbation effect in embedding\n",
      "2024-08-30 12:44:26,974 Perturbation INFO     Calculating grid of arrows\n",
      "2024-08-30 12:44:27,049 Perturbation INFO     Plotting\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/lustre1/project/stg_00002/mambaforge/vsc33053/envs/scenicplus_development_tutorial/lib/python3.11/site-packages/scenicplus/simulation.py:232: RuntimeWarning: invalid value encountered in divide\n",
      "  unitary_vectors /= np.linalg.norm(unitary_vectors, ord=2, axis=0)  # divide by L2\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: >"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "plot_mm_line_pca(ax)\n",
    "plot_perturbation_effect_in_embedding(\n",
    "    perturbed_matrix = perturbation_over_iter[5],\n",
    "    original_matrix = perturbation_over_iter[0],\n",
    "    embedding = eRegulon_gene_AUC.obsm[\"X_pca\"][:, 0:2],\n",
    "    AUC_kwargs = {},\n",
    "    ax = ax,\n",
    "    eRegulons = pd.concat(\n",
    "        [\n",
    "            scplus_mdata.uns[\"direct_e_regulon_metadata\"],\n",
    "            scplus_mdata.uns[\"extended_e_regulon_metadata\"]\n",
    "        ]\n",
    "    ),\n",
    "    n_cpu = 10\n",
    ")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "scenicplus_development_tutorial",
   "language": "Python",
   "name": "scenicplus_development_tutorial"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
